R version 2.11.1 (2010-05-31) Copyright (C) 2010 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(24 + ,14 + ,11 + ,12 + ,24 + ,26 + ,237.588 + ,25 + ,11 + ,7 + ,8 + ,25 + ,23 + ,164.083 + ,17 + ,6 + ,17 + ,8 + ,30 + ,25 + ,278.261 + ,18 + ,12 + ,10 + ,8 + ,19 + ,23 + ,220.36 + ,18 + ,8 + ,12 + ,9 + ,22 + ,19 + ,253.967 + ,16 + ,10 + ,12 + ,7 + ,22 + ,29 + ,422.31 + ,20 + ,10 + ,11 + ,4 + ,25 + ,25 + ,136.921 + ,16 + ,11 + ,11 + ,11 + ,23 + ,21 + ,143.495 + ,18 + ,16 + ,12 + ,7 + ,17 + ,22 + ,189.785 + ,17 + ,11 + ,13 + ,7 + ,21 + ,25 + ,219.529 + ,23 + ,13 + ,14 + ,12 + ,19 + ,24 + ,217.761 + ,30 + ,12 + ,16 + ,10 + ,19 + ,18 + ,221.754 + ,23 + ,8 + ,11 + ,10 + ,15 + ,22 + ,159.854 + ,18 + ,12 + ,10 + ,8 + ,16 + ,15 + ,209.464 + ,15 + ,11 + ,11 + ,8 + ,23 + ,22 + ,174.283 + ,12 + ,4 + ,15 + ,4 + ,27 + ,28 + ,154.55 + ,21 + ,9 + ,9 + ,9 + ,22 + ,20 + ,153.024 + ,15 + ,8 + ,11 + ,8 + ,14 + ,12 + ,162.49 + ,20 + ,8 + ,17 + ,7 + ,22 + ,24 + ,154.462 + ,31 + ,14 + ,17 + ,11 + ,23 + ,20 + ,249.671 + ,27 + ,15 + ,11 + ,9 + ,23 + ,21 + ,259.473 + 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,11 + ,22 + ,21 + ,239.717 + ,17 + ,14 + ,12 + ,6 + ,15 + ,21 + ,241.529 + ,13 + ,8 + ,12 + ,7 + ,14 + ,19 + ,155.561 + ,28 + ,8 + ,16 + ,12 + ,18 + ,24 + ,204.107 + ,21 + ,8 + ,9 + ,11 + ,24 + ,20 + ,745.97 + ,25 + ,7 + ,18 + ,11 + ,35 + ,17 + ,241.772 + ,9 + ,6 + ,8 + ,11 + ,29 + ,23 + ,110.267 + ,16 + ,8 + ,13 + ,5 + ,21 + ,24 + ,186.58 + ,19 + ,6 + ,17 + ,8 + ,25 + ,14 + ,227.906 + ,17 + ,11 + ,9 + ,6 + ,20 + ,19 + ,197.518 + ,25 + ,14 + ,15 + ,9 + ,22 + ,24 + ,254.094 + ,20 + ,11 + ,8 + ,4 + ,13 + ,13 + ,173.942 + ,29 + ,11 + ,7 + ,4 + ,26 + ,22 + ,294.42 + ,14 + ,11 + ,12 + ,7 + ,17 + ,16 + ,211.924 + ,22 + ,14 + ,14 + ,11 + ,25 + ,19 + ,262.479 + ,15 + ,8 + ,6 + ,6 + ,20 + ,25 + ,193.495 + ,19 + ,20 + ,8 + ,7 + ,19 + ,25 + ,165.972 + ,20 + ,11 + ,17 + ,8 + ,21 + ,23 + ,237.352 + ,15 + ,8 + ,10 + ,4 + ,22 + ,24 + ,205.814 + ,20 + ,11 + ,11 + ,8 + ,24 + ,26 + ,227.526 + ,18 + ,10 + ,14 + ,9 + ,21 + ,26 + ,250.439 + ,33 + ,14 + ,11 + ,8 + ,26 + ,25 + ,470.849 + ,22 + ,11 + ,13 + ,11 + ,24 + ,18 + ,176.469 + ,16 + ,9 + ,12 + ,8 + ,16 + ,21 + ,298.691 + ,17 + ,9 + ,11 + ,5 + ,23 + ,26 + ,193.922 + ,16 + ,8 + ,9 + ,4 + ,18 + ,23 + ,212.422 + ,21 + ,10 + ,12 + ,8 + ,16 + ,23 + ,203.284 + ,26 + ,13 + ,20 + ,10 + ,26 + ,22 + ,240.56 + ,18 + ,13 + ,12 + ,6 + ,19 + ,20 + ,445.327 + ,18 + ,12 + ,13 + ,9 + ,21 + ,13 + ,248.984 + ,17 + ,8 + ,12 + ,9 + ,21 + ,24 + ,174.44 + ,22 + ,13 + ,12 + ,13 + ,22 + ,15 + ,165.024 + ,30 + ,14 + ,9 + ,9 + ,23 + ,14 + ,249.681 + ,30 + ,12 + ,15 + ,10 + ,29 + ,22 + ,238.312 + ,24 + ,14 + ,24 + ,20 + ,21 + ,10 + ,250.437 + ,21 + ,15 + ,7 + ,5 + ,21 + ,24 + ,174.75 + ,21 + ,13 + ,17 + ,11 + ,23 + ,22 + ,4941.633 + ,29 + ,16 + ,11 + ,6 + ,27 + ,24 + ,138.936 + ,31 + ,9 + ,17 + ,9 + ,25 + ,19 + ,203.181 + ,20 + ,9 + ,11 + ,7 + ,21 + ,20 + ,187.747 + ,16 + ,9 + ,12 + ,9 + ,10 + ,13 + ,270.95 + ,22 + ,8 + ,14 + ,10 + ,20 + ,20 + ,307.688 + ,20 + ,7 + ,11 + ,9 + ,26 + ,22 + ,184.477 + ,28 + ,16 + ,16 + ,8 + ,24 + ,24 + ,230.916 + ,38 + ,11 + ,21 + ,7 + ,29 + ,29 + ,187.286 + ,22 + ,9 + ,14 + ,6 + ,19 + ,12 + ,169.376 + ,20 + ,11 + ,20 + ,13 + ,24 + ,20 + ,182.838 + ,17 + ,9 + ,13 + ,6 + ,19 + ,21 + ,176.081 + ,28 + ,14 + ,11 + ,8 + ,24 + ,24 + ,248.056 + ,22 + ,13 + ,15 + ,10 + ,22 + ,22 + ,235.24 + ,31 + ,16 + ,19 + ,16 + ,17 + ,20 + ,76.347) + ,dim=c(7 + ,159) + ,dimnames=list(c('CM' + ,'D' + ,'PE' + ,'PC' + ,'PS' + ,'O' + ,'Time') + ,1:159)) > y <- array(NA,dim=c(7,159),dimnames=list(c('CM','D','PE','PC','PS','O','Time'),1:159)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '5' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x PS CM D PE PC O Time 1 24 24 14 11 12 26 237.588 2 25 25 11 7 8 23 164.083 3 30 17 6 17 8 25 278.261 4 19 18 12 10 8 23 220.360 5 22 18 8 12 9 19 253.967 6 22 16 10 12 7 29 422.310 7 25 20 10 11 4 25 136.921 8 23 16 11 11 11 21 143.495 9 17 18 16 12 7 22 189.785 10 21 17 11 13 7 25 219.529 11 19 23 13 14 12 24 217.761 12 19 30 12 16 10 18 221.754 13 15 23 8 11 10 22 159.854 14 16 18 12 10 8 15 209.464 15 23 15 11 11 8 22 174.283 16 27 12 4 15 4 28 154.550 17 22 21 9 9 9 20 153.024 18 14 15 8 11 8 12 162.490 19 22 20 8 17 7 24 154.462 20 23 31 14 17 11 20 249.671 21 23 27 15 11 9 21 259.473 22 21 34 16 18 11 20 155.337 23 19 21 9 14 13 21 151.289 24 18 31 14 10 8 23 276.614 25 20 19 11 11 8 28 188.214 26 23 16 8 15 9 24 181.098 27 25 20 9 15 6 24 240.898 28 19 21 9 13 9 24 244.551 29 24 22 9 16 9 23 250.238 30 22 17 9 13 6 23 183.129 31 25 24 10 9 6 29 310.331 32 26 25 16 18 16 24 281.942 33 29 26 11 18 5 18 230.343 34 32 25 8 12 7 25 161.563 35 25 17 9 17 9 21 392.527 36 29 32 16 9 6 26 1077.414 37 28 33 11 9 6 22 248.275 38 17 13 16 12 5 22 557.386 39 28 32 12 18 12 22 731.874 40 29 25 12 12 7 23 301.429 41 26 29 14 18 10 30 226.360 42 25 22 9 14 9 23 215.018 43 14 18 10 15 8 17 157.672 44 25 17 9 16 5 23 219.118 45 26 20 10 10 8 23 213.019 46 20 15 12 11 8 25 390.642 47 18 20 14 14 10 24 157.124 48 32 33 14 9 6 24 227.652 49 25 29 10 12 8 23 239.266 50 25 23 14 17 7 21 506.343 51 23 26 16 5 4 24 149.219 52 21 18 9 12 8 24 213.351 53 20 20 10 12 8 28 174.517 54 15 11 6 6 4 16 172.531 55 30 28 8 24 20 20 320.656 56 24 26 13 12 8 29 305.011 57 26 22 10 12 8 27 266.495 58 24 17 8 14 6 22 361.511 59 22 12 7 7 4 28 361.019 60 14 14 15 13 8 16 382.187 61 24 17 9 12 9 25 196.763 62 24 21 10 13 6 24 273.212 63 24 19 12 14 7 28 186.397 64 24 18 13 8 9 24 294.205 65 19 10 10 11 5 23 364.685 66 31 29 11 9 5 30 230.501 67 22 31 8 11 8 24 217.510 68 27 19 9 13 8 21 262.297 69 19 9 13 10 6 25 169.246 70 25 20 11 11 8 25 260.428 71 20 28 8 12 7 22 348.187 72 21 19 9 9 7 23 512.937 73 27 30 9 15 9 26 164.496 74 23 29 15 18 11 23 111.187 75 25 26 9 15 6 25 169.999 76 20 23 10 12 8 21 240.187 77 21 13 14 13 6 25 187.158 78 22 21 12 14 9 24 194.096 79 23 19 12 10 8 29 265.846 80 25 28 11 13 6 22 283.319 81 25 23 14 13 10 27 356.938 82 17 18 6 11 8 26 240.802 83 19 21 12 13 8 22 326.662 84 25 20 8 16 10 24 249.266 85 19 23 14 8 5 27 277.368 86 20 21 11 16 7 24 394.618 87 26 21 10 11 5 24 235.686 88 23 15 14 9 8 29 227.641 89 27 28 12 16 14 22 159.593 90 17 19 10 12 7 21 268.866 91 17 26 14 14 8 24 206.466 92 19 10 5 8 6 24 233.064 93 17 16 11 9 5 23 133.824 94 22 22 10 15 6 20 486.783 95 21 19 9 11 10 27 228.859 96 32 31 10 21 12 26 155.238 97 21 31 16 14 9 25 2042.451 98 21 29 13 18 12 21 205.218 99 18 19 9 12 7 21 373.648 100 18 22 10 13 8 19 229.151 101 23 23 10 15 10 21 199.156 102 19 15 7 12 6 21 234.410 103 20 20 9 19 10 16 56.519 104 21 18 8 15 10 22 289.239 105 20 23 14 11 10 29 199.227 106 17 25 14 11 5 15 274.513 107 18 21 8 10 7 17 174.499 108 19 24 9 13 10 15 217.714 109 22 25 14 15 11 21 239.717 110 15 17 14 12 6 21 241.529 111 14 13 8 12 7 19 155.561 112 18 28 8 16 12 24 204.107 113 24 21 8 9 11 20 745.970 114 35 25 7 18 11 17 241.772 115 29 9 6 8 11 23 110.267 116 21 16 8 13 5 24 186.580 117 25 19 6 17 8 14 227.906 118 20 17 11 9 6 19 197.518 119 22 25 14 15 9 24 254.094 120 13 20 11 8 4 13 173.942 121 26 29 11 7 4 22 294.420 122 17 14 11 12 7 16 211.924 123 25 22 14 14 11 19 262.479 124 20 15 8 6 6 25 193.495 125 19 19 20 8 7 25 165.972 126 21 20 11 17 8 23 237.352 127 22 15 8 10 4 24 205.814 128 24 20 11 11 8 26 227.526 129 21 18 10 14 9 26 250.439 130 26 33 14 11 8 25 470.849 131 24 22 11 13 11 18 176.469 132 16 16 9 12 8 21 298.691 133 23 17 9 11 5 26 193.922 134 18 16 8 9 4 23 212.422 135 16 21 10 12 8 23 203.284 136 26 26 13 20 10 22 240.560 137 19 18 13 12 6 20 445.327 138 21 18 12 13 9 13 248.984 139 21 17 8 12 9 24 174.440 140 22 22 13 12 13 15 165.024 141 23 30 14 9 9 14 249.681 142 29 30 12 15 10 22 238.312 143 21 24 14 24 20 10 250.437 144 21 21 15 7 5 24 174.750 145 23 21 13 17 11 22 4941.633 146 27 29 16 11 6 24 138.936 147 25 31 9 17 9 19 203.181 148 21 20 9 11 7 20 187.747 149 10 16 9 12 9 13 270.950 150 20 22 8 14 10 20 307.688 151 26 20 7 11 9 22 184.477 152 24 28 16 16 8 24 230.916 153 29 38 11 21 7 29 187.286 154 19 22 9 14 6 12 169.376 155 24 20 11 20 13 20 182.838 156 19 17 9 13 6 21 176.081 157 24 28 14 11 8 24 248.056 158 22 22 13 15 10 22 235.240 159 17 31 16 19 16 20 76.347 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) CM D PE PC O 7.4942167 0.3285661 -0.3679288 0.1839608 0.0231775 0.4002793 Time 0.0002462 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -8.629103 -2.143165 -0.001636 2.208520 11.436603 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 7.4942167 2.2563151 3.321 0.001122 ** CM 0.3285661 0.0557123 5.898 2.30e-08 *** D -0.3679288 0.1083311 -3.396 0.000872 *** PE 0.1839608 0.1016680 1.809 0.072361 . PC 0.0231775 0.1289859 0.180 0.857635 O 0.4002793 0.0720258 5.557 1.20e-07 *** Time 0.0002462 0.0006643 0.371 0.711400 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 3.419 on 152 degrees of freedom Multiple R-squared: 0.3676, Adjusted R-squared: 0.3427 F-statistic: 14.73 on 6 and 152 DF, p-value: 3.171e-13 > if (n > n25) { + kp3 <- k + 3 + nmkm3 <- n - k - 3 + gqarr <- array(NA, dim=c(nmkm3-kp3+1,3)) + numgqtests <- 0 + numsignificant1 <- 0 + numsignificant5 <- 0 + numsignificant10 <- 0 + for (mypoint in kp3:nmkm3) { + j <- 0 + numgqtests <- numgqtests + 1 + for (myalt in c('greater', 'two.sided', 'less')) { + j <- j + 1 + gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value + } + if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1 + } + gqarr + } [,1] [,2] [,3] [1,] 0.11182655 0.22365311 0.88817345 [2,] 0.31202322 0.62404644 0.68797678 [3,] 0.19233940 0.38467880 0.80766060 [4,] 0.90421902 0.19156195 0.09578098 [5,] 0.84964149 0.30071702 0.15035851 [6,] 0.79960463 0.40079074 0.20039537 [7,] 0.75465455 0.49069090 0.24534545 [8,] 0.67900832 0.64198335 0.32099168 [9,] 0.64438095 0.71123809 0.35561905 [10,] 0.58564313 0.82871373 0.41435687 [11,] 0.58175757 0.83648486 0.41824243 [12,] 0.56250166 0.87499667 0.43749834 [13,] 0.49309047 0.98618095 0.50690953 [14,] 0.44462124 0.88924248 0.55537876 [15,] 0.48902915 0.97805831 0.51097085 [16,] 0.50208797 0.99582406 0.49791203 [17,] 0.43124697 0.86249395 0.56875303 [18,] 0.37745706 0.75491413 0.62254294 [19,] 0.39145941 0.78291883 0.60854059 [20,] 0.33441509 0.66883017 0.66558491 [21,] 0.27664870 0.55329741 0.72335130 [22,] 0.22525609 0.45051217 0.77474391 [23,] 0.24521505 0.49043011 0.75478495 [24,] 0.39601587 0.79203174 0.60398413 [25,] 0.63266987 0.73466027 0.36733013 [26,] 0.60669986 0.78660027 0.39330014 [27,] 0.57362352 0.85275296 0.42637648 [28,] 0.58044343 0.83911315 0.41955657 [29,] 0.55080495 0.89839010 0.44919505 [30,] 0.49676448 0.99352896 0.50323552 [31,] 0.58959489 0.82081021 0.41040511 [32,] 0.54343864 0.91312271 0.45656136 [33,] 0.49667880 0.99335761 0.50332120 [34,] 0.58224461 0.83551079 0.41775539 [35,] 0.55333947 0.89332107 0.44666053 [36,] 0.58109711 0.83780578 0.41890289 [37,] 0.53280170 0.93439661 0.46719830 [38,] 0.51084114 0.97831772 0.48915886 [39,] 0.65778996 0.68442008 0.34221004 [40,] 0.61376985 0.77246031 0.38623015 [41,] 0.59346799 0.81306403 0.40653201 [42,] 0.55556058 0.88887885 0.44443942 [43,] 0.51369088 0.97261824 0.48630912 [44,] 0.54120541 0.91758919 0.45879459 [45,] 0.51260919 0.97478162 0.48739081 [46,] 0.54533898 0.90932205 0.45466102 [47,] 0.50991183 0.98017634 0.49008817 [48,] 0.46889342 0.93778683 0.53110658 [49,] 0.43409166 0.86818331 0.56590834 [50,] 0.39060250 0.78120501 0.60939750 [51,] 0.35268129 0.70536258 0.64731871 [52,] 0.32271851 0.64543702 0.67728149 [53,] 0.28535789 0.57071578 0.71464211 [54,] 0.24833959 0.49667919 0.75166041 [55,] 0.27476066 0.54952132 0.72523934 [56,] 0.23742467 0.47484934 0.76257533 [57,] 0.25231215 0.50462431 0.74768785 [58,] 0.31220735 0.62441470 0.68779265 [59,] 0.38194041 0.76388081 0.61805959 [60,] 0.34859503 0.69719006 0.65140497 [61,] 0.33286819 0.66573637 0.66713181 [62,] 0.41477135 0.82954270 0.58522865 [63,] 0.37808918 0.75617837 0.62191082 [64,] 0.33598079 0.67196157 0.66401921 [65,] 0.29697895 0.59395789 0.70302105 [66,] 0.26372172 0.52744344 0.73627828 [67,] 0.24175685 0.48351370 0.75824315 [68,] 0.22245349 0.44490699 0.77754651 [69,] 0.18930027 0.37860055 0.81069973 [70,] 0.16045960 0.32091920 0.83954040 [71,] 0.13696580 0.27393160 0.86303420 [72,] 0.11814408 0.23628817 0.88185592 [73,] 0.20550467 0.41100935 0.79449533 [74,] 0.19102690 0.38205379 0.80897310 [75,] 0.16432802 0.32865603 0.83567198 [76,] 0.16471223 0.32942447 0.83528777 [77,] 0.16598753 0.33197506 0.83401247 [78,] 0.17343064 0.34686128 0.82656936 [79,] 0.16253112 0.32506223 0.83746888 [80,] 0.15426056 0.30852111 0.84573944 [81,] 0.15950902 0.31901804 0.84049098 [82,] 0.22444077 0.44888154 0.77555923 [83,] 0.19328339 0.38656678 0.80671661 [84,] 0.17454898 0.34909797 0.82545102 [85,] 0.14832065 0.29664130 0.85167935 [86,] 0.13519100 0.27038201 0.86480900 [87,] 0.14111218 0.28222437 0.85888782 [88,] 0.16542087 0.33084174 0.83457913 [89,] 0.16077397 0.32154794 0.83922603 [90,] 0.15345502 0.30691004 0.84654498 [91,] 0.14801540 0.29603081 0.85198460 [92,] 0.12182807 0.24365614 0.87817193 [93,] 0.10181718 0.20363435 0.89818282 [94,] 0.08212504 0.16425008 0.91787496 [95,] 0.06661620 0.13323241 0.93338380 [96,] 0.07072440 0.14144880 0.92927560 [97,] 0.05815630 0.11631260 0.94184370 [98,] 0.05126356 0.10252712 0.94873644 [99,] 0.04476470 0.08952940 0.95523530 [100,] 0.03429281 0.06858563 0.96570719 [101,] 0.03355394 0.06710788 0.96644606 [102,] 0.04190476 0.08380953 0.95809524 [103,] 0.16900639 0.33801277 0.83099361 [104,] 0.15300492 0.30600985 0.84699508 [105,] 0.57344985 0.85310029 0.42655015 [106,] 0.86136941 0.27726118 0.13863059 [107,] 0.82952069 0.34095861 0.17047931 [108,] 0.88216468 0.23567064 0.11783532 [109,] 0.85837603 0.28324793 0.14162397 [110,] 0.83037307 0.33925387 0.16962693 [111,] 0.86332870 0.27334260 0.13667130 [112,] 0.83993125 0.32013751 0.16006875 [113,] 0.80097622 0.39804755 0.19902378 [114,] 0.83239561 0.33520879 0.16760439 [115,] 0.79148596 0.41702809 0.20851404 [116,] 0.75151416 0.49697167 0.24848584 [117,] 0.70311831 0.59376338 0.29688169 [118,] 0.66755758 0.66488483 0.33244242 [119,] 0.62707027 0.74585947 0.37292973 [120,] 0.56845264 0.86309472 0.43154736 [121,] 0.50601446 0.98797107 0.49398554 [122,] 0.50462007 0.99075987 0.49537993 [123,] 0.50118923 0.99762154 0.49881077 [124,] 0.45301078 0.90602155 0.54698922 [125,] 0.40326806 0.80653612 0.59673194 [126,] 0.54775707 0.90448585 0.45224293 [127,] 0.51373369 0.97253261 0.48626631 [128,] 0.43879450 0.87758899 0.56120550 [129,] 0.45280698 0.90561395 0.54719302 [130,] 0.37808135 0.75616270 0.62191865 [131,] 0.34197505 0.68395010 0.65802495 [132,] 0.29794936 0.59589871 0.70205064 [133,] 0.34617448 0.69234896 0.65382552 [134,] 0.50555877 0.98888245 0.49444123 [135,] 0.42475135 0.84950270 0.57524865 [136,] 0.36504459 0.73008918 0.63495541 [137,] 0.32391802 0.64783605 0.67608198 [138,] 0.27662103 0.55324207 0.72337897 [139,] 0.17632039 0.35264079 0.82367961 [140,] 0.31242086 0.62484172 0.68757914 > postscript(file="/var/www/rcomp/tmp/18sat1290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/211rv1290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/311rv1290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/411rv1290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/511rv1290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 159 Frequency = 1 1 2 3 4 5 6 1.003735793 2.618874557 5.739476885 -1.278974249 1.451052720 -1.153848563 7 8 9 10 11 12 2.456773195 3.576221861 -1.744194748 -0.647395718 -3.782068519 -4.370834301 13 14 15 16 17 18 -8.208657394 -1.074057121 3.566459920 2.936706959 1.009743142 -2.531630072 19 20 21 22 23 24 -2.056422015 -0.978114004 1.451506141 -3.388686115 -3.402623019 -5.828328162 25 26 27 28 29 30 -3.152910453 0.572849909 1.681321490 -4.349755167 0.168675199 0.449445988 31 32 33 34 35 36 -0.179743120 2.820228174 6.321352361 6.818523628 3.393065401 4.411248219 37 38 39 40 41 42 3.048326605 -0.145529220 1.831025112 6.056356129 -1.478817384 1.545269555 43 44 45 46 47 48 -5.517523749 2.911879011 4.329843564 -0.319726412 -3.367154722 7.356632925 49 50 51 52 53 54 -0.001636132 3.279641401 2.193965330 -1.149235675 -4.029993364 -1.544298774 55 56 57 58 59 60 3.286208113 -1.330016252 1.690504533 2.253909864 0.461337808 -1.650700097 61 62 63 64 65 66 1.759958349 1.080648648 0.686760960 4.015235398 0.463729331 4.187911271 67 68 69 70 71 72 -4.605587149 5.527022465 1.304432643 2.701578847 -5.012292206 -0.576234260 73 74 75 76 77 78 -0.455616996 -1.303750483 -0.672895813 -2.229907815 1.801803942 -0.417505142 79 80 81 82 83 84 -0.020416595 0.946684493 1.581066735 -6.876379582 -2.442452062 1.034661118 85 86 87 88 89 90 -3.363647839 -3.156378113 3.480988385 2.223074081 2.607777584 -3.899527947 91 92 93 94 95 96 -6.304346484 -1.215078194 -2.714968381 -0.067312900 -2.544852594 3.412728081 97 98 99 100 101 102 -4.086878937 -3.285381886 -3.293258869 -3.282026438 0.181958410 -1.657387889 103 104 105 106 107 108 -0.899595338 -1.333530542 -3.812734574 -1.768608342 -2.300241770 -1.749509226 109 110 111 112 113 114 -0.036623939 -3.740771250 -4.835529679 -8.629102564 2.449449010 11.436602795 115 116 117 118 119 120 9.796046498 -0.967868258 4.497816174 1.518720645 -1.194646895 -3.829180770 121 122 123 124 125 126 2.765504683 0.126649368 4.927988630 -0.776736159 0.939823766 -1.595945067 127 128 129 130 131 132 0.931021489 1.309401558 -1.982097230 0.482190859 3.429621736 -4.312280292 133 134 135 136 137 138 0.637049630 -2.814931749 -6.364246931 1.969767838 -0.087171249 4.141709841 139 140 141 142 143 144 -1.202194297 3.506741173 3.270166617 4.207932146 1.828129189 1.071480968 145 146 147 148 149 150 -0.016314343 4.060679311 -0.359675910 0.008192347 -7.126392700 -2.667818616 151 152 153 154 155 156 3.426226307 0.400436697 -2.612147523 0.029113107 1.950546432 -1.748259965 157 158 159 0.580162362 0.205146249 -6.683385384 > postscript(file="/var/www/rcomp/tmp/6bb8y1290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 159 Frequency = 1 lag(myerror, k = 1) myerror 0 1.003735793 NA 1 2.618874557 1.003735793 2 5.739476885 2.618874557 3 -1.278974249 5.739476885 4 1.451052720 -1.278974249 5 -1.153848563 1.451052720 6 2.456773195 -1.153848563 7 3.576221861 2.456773195 8 -1.744194748 3.576221861 9 -0.647395718 -1.744194748 10 -3.782068519 -0.647395718 11 -4.370834301 -3.782068519 12 -8.208657394 -4.370834301 13 -1.074057121 -8.208657394 14 3.566459920 -1.074057121 15 2.936706959 3.566459920 16 1.009743142 2.936706959 17 -2.531630072 1.009743142 18 -2.056422015 -2.531630072 19 -0.978114004 -2.056422015 20 1.451506141 -0.978114004 21 -3.388686115 1.451506141 22 -3.402623019 -3.388686115 23 -5.828328162 -3.402623019 24 -3.152910453 -5.828328162 25 0.572849909 -3.152910453 26 1.681321490 0.572849909 27 -4.349755167 1.681321490 28 0.168675199 -4.349755167 29 0.449445988 0.168675199 30 -0.179743120 0.449445988 31 2.820228174 -0.179743120 32 6.321352361 2.820228174 33 6.818523628 6.321352361 34 3.393065401 6.818523628 35 4.411248219 3.393065401 36 3.048326605 4.411248219 37 -0.145529220 3.048326605 38 1.831025112 -0.145529220 39 6.056356129 1.831025112 40 -1.478817384 6.056356129 41 1.545269555 -1.478817384 42 -5.517523749 1.545269555 43 2.911879011 -5.517523749 44 4.329843564 2.911879011 45 -0.319726412 4.329843564 46 -3.367154722 -0.319726412 47 7.356632925 -3.367154722 48 -0.001636132 7.356632925 49 3.279641401 -0.001636132 50 2.193965330 3.279641401 51 -1.149235675 2.193965330 52 -4.029993364 -1.149235675 53 -1.544298774 -4.029993364 54 3.286208113 -1.544298774 55 -1.330016252 3.286208113 56 1.690504533 -1.330016252 57 2.253909864 1.690504533 58 0.461337808 2.253909864 59 -1.650700097 0.461337808 60 1.759958349 -1.650700097 61 1.080648648 1.759958349 62 0.686760960 1.080648648 63 4.015235398 0.686760960 64 0.463729331 4.015235398 65 4.187911271 0.463729331 66 -4.605587149 4.187911271 67 5.527022465 -4.605587149 68 1.304432643 5.527022465 69 2.701578847 1.304432643 70 -5.012292206 2.701578847 71 -0.576234260 -5.012292206 72 -0.455616996 -0.576234260 73 -1.303750483 -0.455616996 74 -0.672895813 -1.303750483 75 -2.229907815 -0.672895813 76 1.801803942 -2.229907815 77 -0.417505142 1.801803942 78 -0.020416595 -0.417505142 79 0.946684493 -0.020416595 80 1.581066735 0.946684493 81 -6.876379582 1.581066735 82 -2.442452062 -6.876379582 83 1.034661118 -2.442452062 84 -3.363647839 1.034661118 85 -3.156378113 -3.363647839 86 3.480988385 -3.156378113 87 2.223074081 3.480988385 88 2.607777584 2.223074081 89 -3.899527947 2.607777584 90 -6.304346484 -3.899527947 91 -1.215078194 -6.304346484 92 -2.714968381 -1.215078194 93 -0.067312900 -2.714968381 94 -2.544852594 -0.067312900 95 3.412728081 -2.544852594 96 -4.086878937 3.412728081 97 -3.285381886 -4.086878937 98 -3.293258869 -3.285381886 99 -3.282026438 -3.293258869 100 0.181958410 -3.282026438 101 -1.657387889 0.181958410 102 -0.899595338 -1.657387889 103 -1.333530542 -0.899595338 104 -3.812734574 -1.333530542 105 -1.768608342 -3.812734574 106 -2.300241770 -1.768608342 107 -1.749509226 -2.300241770 108 -0.036623939 -1.749509226 109 -3.740771250 -0.036623939 110 -4.835529679 -3.740771250 111 -8.629102564 -4.835529679 112 2.449449010 -8.629102564 113 11.436602795 2.449449010 114 9.796046498 11.436602795 115 -0.967868258 9.796046498 116 4.497816174 -0.967868258 117 1.518720645 4.497816174 118 -1.194646895 1.518720645 119 -3.829180770 -1.194646895 120 2.765504683 -3.829180770 121 0.126649368 2.765504683 122 4.927988630 0.126649368 123 -0.776736159 4.927988630 124 0.939823766 -0.776736159 125 -1.595945067 0.939823766 126 0.931021489 -1.595945067 127 1.309401558 0.931021489 128 -1.982097230 1.309401558 129 0.482190859 -1.982097230 130 3.429621736 0.482190859 131 -4.312280292 3.429621736 132 0.637049630 -4.312280292 133 -2.814931749 0.637049630 134 -6.364246931 -2.814931749 135 1.969767838 -6.364246931 136 -0.087171249 1.969767838 137 4.141709841 -0.087171249 138 -1.202194297 4.141709841 139 3.506741173 -1.202194297 140 3.270166617 3.506741173 141 4.207932146 3.270166617 142 1.828129189 4.207932146 143 1.071480968 1.828129189 144 -0.016314343 1.071480968 145 4.060679311 -0.016314343 146 -0.359675910 4.060679311 147 0.008192347 -0.359675910 148 -7.126392700 0.008192347 149 -2.667818616 -7.126392700 150 3.426226307 -2.667818616 151 0.400436697 3.426226307 152 -2.612147523 0.400436697 153 0.029113107 -2.612147523 154 1.950546432 0.029113107 155 -1.748259965 1.950546432 156 0.580162362 -1.748259965 157 0.205146249 0.580162362 158 -6.683385384 0.205146249 159 NA -6.683385384 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 2.618874557 1.003735793 [2,] 5.739476885 2.618874557 [3,] -1.278974249 5.739476885 [4,] 1.451052720 -1.278974249 [5,] -1.153848563 1.451052720 [6,] 2.456773195 -1.153848563 [7,] 3.576221861 2.456773195 [8,] -1.744194748 3.576221861 [9,] -0.647395718 -1.744194748 [10,] -3.782068519 -0.647395718 [11,] -4.370834301 -3.782068519 [12,] -8.208657394 -4.370834301 [13,] -1.074057121 -8.208657394 [14,] 3.566459920 -1.074057121 [15,] 2.936706959 3.566459920 [16,] 1.009743142 2.936706959 [17,] -2.531630072 1.009743142 [18,] -2.056422015 -2.531630072 [19,] -0.978114004 -2.056422015 [20,] 1.451506141 -0.978114004 [21,] -3.388686115 1.451506141 [22,] -3.402623019 -3.388686115 [23,] -5.828328162 -3.402623019 [24,] -3.152910453 -5.828328162 [25,] 0.572849909 -3.152910453 [26,] 1.681321490 0.572849909 [27,] -4.349755167 1.681321490 [28,] 0.168675199 -4.349755167 [29,] 0.449445988 0.168675199 [30,] -0.179743120 0.449445988 [31,] 2.820228174 -0.179743120 [32,] 6.321352361 2.820228174 [33,] 6.818523628 6.321352361 [34,] 3.393065401 6.818523628 [35,] 4.411248219 3.393065401 [36,] 3.048326605 4.411248219 [37,] -0.145529220 3.048326605 [38,] 1.831025112 -0.145529220 [39,] 6.056356129 1.831025112 [40,] -1.478817384 6.056356129 [41,] 1.545269555 -1.478817384 [42,] -5.517523749 1.545269555 [43,] 2.911879011 -5.517523749 [44,] 4.329843564 2.911879011 [45,] -0.319726412 4.329843564 [46,] -3.367154722 -0.319726412 [47,] 7.356632925 -3.367154722 [48,] -0.001636132 7.356632925 [49,] 3.279641401 -0.001636132 [50,] 2.193965330 3.279641401 [51,] -1.149235675 2.193965330 [52,] -4.029993364 -1.149235675 [53,] -1.544298774 -4.029993364 [54,] 3.286208113 -1.544298774 [55,] -1.330016252 3.286208113 [56,] 1.690504533 -1.330016252 [57,] 2.253909864 1.690504533 [58,] 0.461337808 2.253909864 [59,] -1.650700097 0.461337808 [60,] 1.759958349 -1.650700097 [61,] 1.080648648 1.759958349 [62,] 0.686760960 1.080648648 [63,] 4.015235398 0.686760960 [64,] 0.463729331 4.015235398 [65,] 4.187911271 0.463729331 [66,] -4.605587149 4.187911271 [67,] 5.527022465 -4.605587149 [68,] 1.304432643 5.527022465 [69,] 2.701578847 1.304432643 [70,] -5.012292206 2.701578847 [71,] -0.576234260 -5.012292206 [72,] -0.455616996 -0.576234260 [73,] -1.303750483 -0.455616996 [74,] -0.672895813 -1.303750483 [75,] -2.229907815 -0.672895813 [76,] 1.801803942 -2.229907815 [77,] -0.417505142 1.801803942 [78,] -0.020416595 -0.417505142 [79,] 0.946684493 -0.020416595 [80,] 1.581066735 0.946684493 [81,] -6.876379582 1.581066735 [82,] -2.442452062 -6.876379582 [83,] 1.034661118 -2.442452062 [84,] -3.363647839 1.034661118 [85,] -3.156378113 -3.363647839 [86,] 3.480988385 -3.156378113 [87,] 2.223074081 3.480988385 [88,] 2.607777584 2.223074081 [89,] -3.899527947 2.607777584 [90,] -6.304346484 -3.899527947 [91,] -1.215078194 -6.304346484 [92,] -2.714968381 -1.215078194 [93,] -0.067312900 -2.714968381 [94,] -2.544852594 -0.067312900 [95,] 3.412728081 -2.544852594 [96,] -4.086878937 3.412728081 [97,] -3.285381886 -4.086878937 [98,] -3.293258869 -3.285381886 [99,] -3.282026438 -3.293258869 [100,] 0.181958410 -3.282026438 [101,] -1.657387889 0.181958410 [102,] -0.899595338 -1.657387889 [103,] -1.333530542 -0.899595338 [104,] -3.812734574 -1.333530542 [105,] -1.768608342 -3.812734574 [106,] -2.300241770 -1.768608342 [107,] -1.749509226 -2.300241770 [108,] -0.036623939 -1.749509226 [109,] -3.740771250 -0.036623939 [110,] -4.835529679 -3.740771250 [111,] -8.629102564 -4.835529679 [112,] 2.449449010 -8.629102564 [113,] 11.436602795 2.449449010 [114,] 9.796046498 11.436602795 [115,] -0.967868258 9.796046498 [116,] 4.497816174 -0.967868258 [117,] 1.518720645 4.497816174 [118,] -1.194646895 1.518720645 [119,] -3.829180770 -1.194646895 [120,] 2.765504683 -3.829180770 [121,] 0.126649368 2.765504683 [122,] 4.927988630 0.126649368 [123,] -0.776736159 4.927988630 [124,] 0.939823766 -0.776736159 [125,] -1.595945067 0.939823766 [126,] 0.931021489 -1.595945067 [127,] 1.309401558 0.931021489 [128,] -1.982097230 1.309401558 [129,] 0.482190859 -1.982097230 [130,] 3.429621736 0.482190859 [131,] -4.312280292 3.429621736 [132,] 0.637049630 -4.312280292 [133,] -2.814931749 0.637049630 [134,] -6.364246931 -2.814931749 [135,] 1.969767838 -6.364246931 [136,] -0.087171249 1.969767838 [137,] 4.141709841 -0.087171249 [138,] -1.202194297 4.141709841 [139,] 3.506741173 -1.202194297 [140,] 3.270166617 3.506741173 [141,] 4.207932146 3.270166617 [142,] 1.828129189 4.207932146 [143,] 1.071480968 1.828129189 [144,] -0.016314343 1.071480968 [145,] 4.060679311 -0.016314343 [146,] -0.359675910 4.060679311 [147,] 0.008192347 -0.359675910 [148,] -7.126392700 0.008192347 [149,] -2.667818616 -7.126392700 [150,] 3.426226307 -2.667818616 [151,] 0.400436697 3.426226307 [152,] -2.612147523 0.400436697 [153,] 0.029113107 -2.612147523 [154,] 1.950546432 0.029113107 [155,] -1.748259965 1.950546432 [156,] 0.580162362 -1.748259965 [157,] 0.205146249 0.580162362 [158,] -6.683385384 0.205146249 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 2.618874557 1.003735793 2 5.739476885 2.618874557 3 -1.278974249 5.739476885 4 1.451052720 -1.278974249 5 -1.153848563 1.451052720 6 2.456773195 -1.153848563 7 3.576221861 2.456773195 8 -1.744194748 3.576221861 9 -0.647395718 -1.744194748 10 -3.782068519 -0.647395718 11 -4.370834301 -3.782068519 12 -8.208657394 -4.370834301 13 -1.074057121 -8.208657394 14 3.566459920 -1.074057121 15 2.936706959 3.566459920 16 1.009743142 2.936706959 17 -2.531630072 1.009743142 18 -2.056422015 -2.531630072 19 -0.978114004 -2.056422015 20 1.451506141 -0.978114004 21 -3.388686115 1.451506141 22 -3.402623019 -3.388686115 23 -5.828328162 -3.402623019 24 -3.152910453 -5.828328162 25 0.572849909 -3.152910453 26 1.681321490 0.572849909 27 -4.349755167 1.681321490 28 0.168675199 -4.349755167 29 0.449445988 0.168675199 30 -0.179743120 0.449445988 31 2.820228174 -0.179743120 32 6.321352361 2.820228174 33 6.818523628 6.321352361 34 3.393065401 6.818523628 35 4.411248219 3.393065401 36 3.048326605 4.411248219 37 -0.145529220 3.048326605 38 1.831025112 -0.145529220 39 6.056356129 1.831025112 40 -1.478817384 6.056356129 41 1.545269555 -1.478817384 42 -5.517523749 1.545269555 43 2.911879011 -5.517523749 44 4.329843564 2.911879011 45 -0.319726412 4.329843564 46 -3.367154722 -0.319726412 47 7.356632925 -3.367154722 48 -0.001636132 7.356632925 49 3.279641401 -0.001636132 50 2.193965330 3.279641401 51 -1.149235675 2.193965330 52 -4.029993364 -1.149235675 53 -1.544298774 -4.029993364 54 3.286208113 -1.544298774 55 -1.330016252 3.286208113 56 1.690504533 -1.330016252 57 2.253909864 1.690504533 58 0.461337808 2.253909864 59 -1.650700097 0.461337808 60 1.759958349 -1.650700097 61 1.080648648 1.759958349 62 0.686760960 1.080648648 63 4.015235398 0.686760960 64 0.463729331 4.015235398 65 4.187911271 0.463729331 66 -4.605587149 4.187911271 67 5.527022465 -4.605587149 68 1.304432643 5.527022465 69 2.701578847 1.304432643 70 -5.012292206 2.701578847 71 -0.576234260 -5.012292206 72 -0.455616996 -0.576234260 73 -1.303750483 -0.455616996 74 -0.672895813 -1.303750483 75 -2.229907815 -0.672895813 76 1.801803942 -2.229907815 77 -0.417505142 1.801803942 78 -0.020416595 -0.417505142 79 0.946684493 -0.020416595 80 1.581066735 0.946684493 81 -6.876379582 1.581066735 82 -2.442452062 -6.876379582 83 1.034661118 -2.442452062 84 -3.363647839 1.034661118 85 -3.156378113 -3.363647839 86 3.480988385 -3.156378113 87 2.223074081 3.480988385 88 2.607777584 2.223074081 89 -3.899527947 2.607777584 90 -6.304346484 -3.899527947 91 -1.215078194 -6.304346484 92 -2.714968381 -1.215078194 93 -0.067312900 -2.714968381 94 -2.544852594 -0.067312900 95 3.412728081 -2.544852594 96 -4.086878937 3.412728081 97 -3.285381886 -4.086878937 98 -3.293258869 -3.285381886 99 -3.282026438 -3.293258869 100 0.181958410 -3.282026438 101 -1.657387889 0.181958410 102 -0.899595338 -1.657387889 103 -1.333530542 -0.899595338 104 -3.812734574 -1.333530542 105 -1.768608342 -3.812734574 106 -2.300241770 -1.768608342 107 -1.749509226 -2.300241770 108 -0.036623939 -1.749509226 109 -3.740771250 -0.036623939 110 -4.835529679 -3.740771250 111 -8.629102564 -4.835529679 112 2.449449010 -8.629102564 113 11.436602795 2.449449010 114 9.796046498 11.436602795 115 -0.967868258 9.796046498 116 4.497816174 -0.967868258 117 1.518720645 4.497816174 118 -1.194646895 1.518720645 119 -3.829180770 -1.194646895 120 2.765504683 -3.829180770 121 0.126649368 2.765504683 122 4.927988630 0.126649368 123 -0.776736159 4.927988630 124 0.939823766 -0.776736159 125 -1.595945067 0.939823766 126 0.931021489 -1.595945067 127 1.309401558 0.931021489 128 -1.982097230 1.309401558 129 0.482190859 -1.982097230 130 3.429621736 0.482190859 131 -4.312280292 3.429621736 132 0.637049630 -4.312280292 133 -2.814931749 0.637049630 134 -6.364246931 -2.814931749 135 1.969767838 -6.364246931 136 -0.087171249 1.969767838 137 4.141709841 -0.087171249 138 -1.202194297 4.141709841 139 3.506741173 -1.202194297 140 3.270166617 3.506741173 141 4.207932146 3.270166617 142 1.828129189 4.207932146 143 1.071480968 1.828129189 144 -0.016314343 1.071480968 145 4.060679311 -0.016314343 146 -0.359675910 4.060679311 147 0.008192347 -0.359675910 148 -7.126392700 0.008192347 149 -2.667818616 -7.126392700 150 3.426226307 -2.667818616 151 0.400436697 3.426226307 152 -2.612147523 0.400436697 153 0.029113107 -2.612147523 154 1.950546432 0.029113107 155 -1.748259965 1.950546432 156 0.580162362 -1.748259965 157 0.205146249 0.580162362 158 -6.683385384 0.205146249 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/7m2q11290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8m2q11290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9fb6m1290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10fb6m1290470277.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/11iu5a1290470277.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/12e3311290470277.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/13sv1s1290470277.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/14ewzg1290470277.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/www/rcomp/tmp/15hey31290470277.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/www/rcomp/tmp/16kxe91290470277.tab") + } > > try(system("convert tmp/18sat1290470277.ps tmp/18sat1290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/211rv1290470277.ps tmp/211rv1290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/311rv1290470277.ps tmp/311rv1290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/411rv1290470277.ps tmp/411rv1290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/511rv1290470277.ps tmp/511rv1290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/6bb8y1290470277.ps tmp/6bb8y1290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/7m2q11290470277.ps tmp/7m2q11290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/8m2q11290470277.ps tmp/8m2q11290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/9fb6m1290470277.ps tmp/9fb6m1290470277.png",intern=TRUE)) character(0) > try(system("convert tmp/10fb6m1290470277.ps tmp/10fb6m1290470277.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.970 2.090 8.057